feat: Notes for harmonic oscillator
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9 changed files with 229 additions and 19 deletions
105
docs/CuratedNotes/HarmonicOscillator.html
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105
docs/CuratedNotes/HarmonicOscillator.html
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---
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layout: default
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---
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<style>
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body {
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color: black;
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}
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</style>
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<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.9.0/styles/default.min.css">
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<script src="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.9.0/highlight.min.js"></script>
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<script type="text/javascript" charset="UTF-8"
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src="../assets/css/lean.min.js"></script>
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<script>hljs.highlightAll();</script>
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<!--- Toggle background color. -->
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<script>
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let isDefaultBackground = true;
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function toggleDyslexiaMode() {
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document.body.style.backgroundColor = isDefaultBackground ? '#f4ecd8' : '#ffffff';
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isDefaultBackground = !isDefaultBackground;
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}
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</script>
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<div style="text-align: right;">
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<a href="#" onclick="toggleDyslexiaMode(); return false;" style="color: #2c5282; text-decoration: underline; cursor: pointer;">
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Toggle background color
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</a>
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</div>
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<!-- Note header (title, curators, notice etc.). -->
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<center><h1 style="font-size: 50px;">{{ site.data.harmonicOscillator.title }}</h1></center>
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<center><h2 style="font-size: 20px;">Note Authors: {{ site.data.harmonicOscillator.curators }}</h2></center>
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<!-- -->
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<style>
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body {
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font-family: "Times New Roman", Times, serif;
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}
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</style>
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<br>
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<div style="border: 1px solid black; padding: 10px;">
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<p>
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These notes are created using an interactive theorem
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prover called <a href="https://lean-lang.org">Lean</a>.
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Lean formally checks definitions, theorems and proofs for correctness.
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These notes are part of a much larger project called
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<a href="https://github.com/HEPLean/PhysLean">PhysLean</a>, which aims to digitalize
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high energy physics into Lean. Please consider contributing to this project.
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<br><br>
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Please provide feedback or suggestions for improvements by creating a GitHub issue
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<a href="https://github.com/HEPLean/HepLean/issues">here</a>.
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</p>
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</div>
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<!-- Table of content. -->
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<hr>
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<center><h2 style="font-size: 30px;">Table of content</h2></center>
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<p>
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{% for entry in site.data.harmonicOscillator.parts %}
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{% if entry.type == "h1" %}
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<a href="#section-{{ entry.sectionNo }}" style="color: #2c5282;">{{ entry.sectionNo }}. {{ entry.content }}</a><br>
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{% endif %}
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{% if entry.type == "h2" %}
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<a href="#section-{{ entry.sectionNo }}" style="color: #2c5282;">{{ entry.sectionNo }}. {{ entry.content }}</a><br>
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{% endif %}
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{% endfor %}
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</p>
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<hr>
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<!-- Main body. -->
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<br>
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{% for entry in site.data.harmonicOscillator.parts %}
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{% if entry.type == "h1" %}
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<h1 id="section-{{ entry.sectionNo }}">{{ entry.sectionNo }}. {{ entry.content }}</h1>
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{% endif %}
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{% if entry.type == "h2" %}
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<h2 id="section-{{ entry.sectionNo }}">{{ entry.sectionNo }}. {{ entry.content }} </h2>
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{% endif %}
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{% if entry.type == "p" %}
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<p>{{ entry.content }}</p>
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{% endif %}
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{% if entry.type == "warning" %}
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<div class="alert alert-danger" role="alert">
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<b>Warning:</b> {{ entry.content }}
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</div>
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{% endif %}
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{% if entry.type == "name" %}
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<div style=" padding: 10px; border-radius: 4px;">
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<b id="decl-{{ entry.declNo }}">
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<a href="#decl-{{ entry.declNo }}" style="color: black;">
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{% if entry.isDef %}Definition{% else %}
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{% if entry.isThm %}Theorem{% else %}Lemma{% endif %}{% endif %} {{ entry.declNo }}</a></b>
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(<a href = "{{ entry.link }}" style="color: #2c5282;">{{ entry.name }}</a>)<b>:</b>
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{% if entry.status == "incomplete" %}🚧{% endif %}
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<div style="margin-left: 1em;">{{ entry.docString | markdownify}}</div>
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<details class="code-block-container">
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<summary style="font-size: 0.8em; margin-left: 1em;">Show Lean code:</summary>
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<pre style="background: none; margin: 0;"><code class="language-lean">{{ entry.declString }}</code></pre>
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</details>
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</div>
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{% endif %}
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{% if entry.type == "remark" %}
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<div style="padding: 10px; border-radius: 4px; border: 1px solid #e8e6e6;">
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<a href = "{{ entry.link }}" style="color: #2c5282;">Remark: {{ entry.name}} </a>
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{{ entry.content|markdownify }}
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</div>
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<br>
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{% endif %}
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{% endfor %}
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